What is the extreme y=6x^3+72x^2+270x ?

The extreme y=6x^3+72x^2+270x is Maximum(-5,-300),Minimum(-3,-324)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=6x^3+72x^2+270x

extreme points

y = 6 x^{3} + 72 x^{2} + 270 x

Maximum (- 5, - 300), Minimum (- 3, - 324)

Solution steps

f^{'} (x) = 18 x^{2} + 144 x + 270

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < - 3,

Increasing

: - 3 < x < \infty

Plug

x = - 5

into

6 x^{3} + 72 x^{2} + 270 x : - 300

Maximum (- 5, - 300)

Plug

x = - 3

into

6 x^{3} + 72 x^{2} + 270 x : - 324

Minimum (- 3, - 324)

Maximum (- 5, - 300), Minimum (- 3, - 324)

\frac{( 4 x + 7 ) x + 9}{x ^{2} + 9 x}

f (x) = e^{(x^{2} - 2 x^{2} - 7 x)}

f (x) = x^{2} - 6 x - 3

\frac{d}{d x} (3 x a t [4.16])

- x^{3} + 27 x - 55

What is the extreme y=6x^3+72x^2+270x ?
The extreme y=6x^3+72x^2+270x is Maximum(-5,-300),Minimum(-3,-324)